Scattering theory below energy for a class of Hartree type equations

Abstract

We prove the global existence and scattering for the Hartree-type equation in Hs(3) the low regularity space s<1. We follow the ideas in Colliander et al. (2004) to the Hartree-type nonlinearity, and also develop the theory of the classical multilinear operator modifying the Lp estimate in Coifman and Meyer (1978).

title = "Scattering theory below energy for a class of Hartree type equations",

abstract = "We prove the global existence and scattering for the Hartree-type equation in Hs(3) the low regularity space s<1. We follow the ideas in Colliander et al. (2004) to the Hartree-type nonlinearity, and also develop the theory of the classical multilinear operator modifying the Lp estimate in Coifman and Meyer (1978).",

N2 - We prove the global existence and scattering for the Hartree-type equation in Hs(3) the low regularity space s<1. We follow the ideas in Colliander et al. (2004) to the Hartree-type nonlinearity, and also develop the theory of the classical multilinear operator modifying the Lp estimate in Coifman and Meyer (1978).

AB - We prove the global existence and scattering for the Hartree-type equation in Hs(3) the low regularity space s<1. We follow the ideas in Colliander et al. (2004) to the Hartree-type nonlinearity, and also develop the theory of the classical multilinear operator modifying the Lp estimate in Coifman and Meyer (1978).